114429600 has 216 divisors, whose sum is σ = 421660512. Its totient is φ = 29145600.

The previous prime is 114429593. The next prime is 114429613. The reversal of 114429600 is 6924411.

114429600 is a `hidden beast` number, since 1 + 14 + 42 + 9 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165255 + ... + 165945.

It is an arithmetic number, because the mean of its divisors is an integer number (1952132).

Almost surely, 2^114429600 is an apocalyptic number.

114429600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210830256).

114429600 is an abundant number, since it is smaller than the sum of its proper divisors (307230912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114429600 is a wasteful number, since it uses less digits than its factorization.

114429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114429600 is about 10697.1771977471. The cubic root of 114429600 is about 485.4890733801.

The spelling of 114429600 in words is "one hundred fourteen million, four hundred twenty-nine thousand, six hundred".